Atkin-Lehner |
2+ 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992r |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
2.4227967344758E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29763312,-62508031740] |
[a1,a2,a3,a4,a6] |
j |
2847524968995953103119812/23660124360114879 |
j-invariant |
L |
3.6196575431155 |
L(r)(E,1)/r! |
Ω |
0.064636741692219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496v4 |
Quadratic twists by: -4 |